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Model predictive control of switched-actuator systems with setup times, and application to hyperthermia cancer therapies

delete2025-06-03
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PRE
AI
D
D.A. Deenen *
E
E. Maljaars
L
Lukas Christian Sebeke
B
B. de Jager
E
Edwin Heijman
G
Gruell, H.
W
W.P.M.H. Heemels
DOI:10.1016/j.nahs.2025.101604delete
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Abstract

Abstract

En 中文
A switched-actuator system with setup times (SAcSS) is a system in which the actuator configuration has to be switched during operation, and where the switching induces non-negligible actuator downtime. Optimally controlling SAcSSs requires the online solving of both a discrete actuator allocation problem, in which the switch-induced actuator downtime is taken into account, as well as an optimization problem for the (typically continuous) control inputs. Mixed-integer model predictive control (MI-MPC) offers a powerful framework for tackling such problems. However, the efficient modeling of SAcSSs for MI-MPC is not straightforward, and real-time feasibility is often a major hurdle in practice. It is the objective of this paper to provide an intuitive and systematic modeling procedure tailored to SAcSSs, which is specifically designed to allow for user-friendly controller synthesis, and to yield efficient MI-MPCs. We apply these new results in a case study of large-volume magnetic-resonance-guided high-intensity focused ultrasound hyperthermia, which involves the heating of tumors (using real-valued local heating controls, as well as discrete range-extending actuator relocation during which no heating is allowed) to enhance the efficacy of radio-and chemotherapy.
Keywords:
Model predictive control
Mixed-integer programming
Switched systems
Hyperthermia
Cancer treatment

Journal

N
Nonlinear Analysis and Hybrid Systems
IF:
4.1
Papers:
1.4K
Citations:
3.1K

Organization

U
Univ Cologne
Scholars:
1.3K
Papers: 563
Citations: 226
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